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A022587
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Expansion of Product_{m>=1} (1 + x^m)^22.
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2
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1, 22, 253, 2046, 13134, 71368, 341275, 1473494, 5848810, 21628002, 75261384, 248403586, 782547909, 2365168542, 6887441198, 19393122562, 52959869787, 140631776582, 363943223941, 919706094494, 2273411319069, 5505315501136, 13078268135683, 30514651732686, 70005101272876
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ (11/6)^(1/4) * exp(Pi * sqrt(22*n/3)) / (4096 * n^(3/4)). - Vaclav Kotesovec, Mar 05 2015
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MATHEMATICA
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nmax=50; CoefficientList[Series[Product[(1+q^m)^22, {m, 1, nmax}], {q, 0, nmax}], q] (* Vaclav Kotesovec, Mar 05 2015 *)
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PROG
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(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1+q^n)^22)) \\ G. C. Greubel, Feb 25 2018
(Magma) Coefficients(&*[(1+x^m)^22:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Feb 25 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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